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We propose a stringy mechanism whereby a large hierarchy between symmetry breaking scales is generated. This mechanism is based upon the existence of a fifth dimension compactified on a segment. We focus on a simple supersymmetric model…

High Energy Physics - Theory · Physics 2009-10-30 Ph. Brax , Neil Turok

Using the resolution of the gauge hierarchy problem recently proposed by Randall and Sundrum, we find a natural explanation for the observed fermion masses and mixings of the three Standard Model (SM) generations. Localizing massless SM…

High Energy Physics - Phenomenology · Physics 2007-05-23 David Dooling , Kyungsik Kang

An ${\rm SU}(8)$ theory was previously found to be the minimal simple gauge group where all three-generational Standard Model (SM) fermions can be nontrivially embedded. It is maximally broken into a subgroup of ${\rm SU}(8)\to {\cal…

High Energy Physics - Phenomenology · Physics 2025-06-30 Ning Chen , Zhiyuan Chen , Zhanpeng Hou , Zhaolong Teng , Bin Wang

We examine the problem of constructing three generation free fermionic string models with grand unified gauge groups. We attempt the construction of $G\times G$ models, where $G$ is a grand unified group realized at level 1. This structure…

High Energy Physics - Theory · Physics 2009-10-28 D. Finnell

We propose a renormalizable theory based on the $SU(3)_C\times SU(3)_L\times U(1)_X$ gauge symmetry, supplemented by the spontaneously broken $U(1)_{L_g}$ global lepton number symmetry and the $S_3 \times Z_2 $ discrete group, which…

High Energy Physics - Phenomenology · Physics 2021-03-08 A. E. Cárcamo Hernández , Yocelyne Hidalgo Velásquez , Sergey Kovalenko , H. N. Long , Nicolás A. Pérez-Julve , V. V. Vien

In this work, we explore topological phases of matter obtained by effectively gauging or fermionizing a system, where the Gauss law constraint is only enforced energetically. In contrast to conventional gauging or fermionization, the…

Strongly Correlated Electrons · Physics 2026-02-11 Takamasa Ando

We study the fermion mass and mixing hierarchy problems within the context of the SU(5) 4+1d domain-wall brane model of Davies, George and Volkas. In this model, the ordinary fermion mass relations of SU(5) grand unified theories are…

High Energy Physics - Phenomenology · Physics 2011-03-21 Benjamin D. Callen , Raymond R. Volkas

We study a lattice Nambu-Jona-Lasinio model with interacting staggered fermions in the Kogut-Susskind Hamiltonian formalism. The model has a discrete chiral symmetry but not the usual continuous chiral symmetry. In a strong coupling regime…

Mathematical Physics · Physics 2024-01-10 Yukimi Goto , Tohru Koma

In the framework of the four dimensional heterotic superstring with free fermions we present a revised version of the rank eight Grand Unified String Theories (GUST) which contain the $SU(3)_H$-gauge family symmetry. We also develop some…

High Energy Physics - Phenomenology · Physics 2019-08-15 A. A. Maslikov , I. A. Naumov , G. G. Volkov

We provide a unified description of fermion masses and mixing angles in the framework of a supersymmetric grand unified SO(10) model with anarchic Yukawa couplings of order unity. The space-time is five dimensional and the extra flat…

High Energy Physics - Phenomenology · Physics 2015-07-03 Ferruccio Feruglio , Ketan M. Patel , Denise Vicino

We discuss the fermion mass problem in SUSY GUTs, including such ideas as texture zeroes, and Georgi-Jarlskog textures. We focus on a specific supersymmetric model based on the gauge group $SU(4)\otimes SU(2)_L \otimes SU(2)_R$. In this…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. C. Allanach , S. F. King

Three generation heterotic-string vacua in the free fermionic formulation gave rise to models with solely the MSSM states in the observable Standard Model charged sector. The relation of these models to Z_2 x Z_2 orbifold compactifications…

High Energy Physics - Theory · Physics 2008-11-26 Alon E. Faraggi , Elisa Manno , Cristina Timirgaziu

A new procedure is developed which enables one to start from the quark and lepton mass and mixing data at the low scale and construct mass matrices which exhibit simple SO(10) structure at the SUSY GUT scale. This approach is applied to the…

High Energy Physics - Phenomenology · Physics 2010-11-01 Carl H. Albright , Satyanarayan Nandi

We study relativistic fermions in three euclidean dimensions with four- and six-fermion interactions of the Gross-Neveu type. In the limit of many fermion flavors, and besides the isolated free fixed point, the theory displays a line of…

High Energy Physics - Theory · Physics 2023-05-04 Charlie Cresswell-Hogg , Daniel F. Litim

We study an extension of the supersymmetric standard model with four families and gauged horizontal symmetry $SU(4)_H$, in which R parity automatically follows as a consequence of gauge invariance and of the field content of the model.…

High Energy Physics - Phenomenology · Physics 2016-09-01 Zurab Berezhiani , Enrico Nardi

Based on a nonabelian generalization of electric-magnetic duality, the Dualized Standard Model (DSM) suggests a natural explanation for exactly 3 generations of fermions as the `dual colour' $\widetilde{SU}(3)$ symmetry broken in a…

High Energy Physics - Phenomenology · Physics 2007-05-23 HM Chan , ST Tsou

We propose a model of dynamical symmetry breaking, in which a new type of fundamental scalar fields of zero mass-dimension mediate the couplings of fermions to the gravitational field, represented here as a tetrad field in the same manner…

High Energy Physics - Theory · Physics 2022-10-03 J. Miller , M. A. Zubkov

Quantum field theories can exhibit various generalized symmetry structures, among which higher-group symmetries and non-invertible symmetry defects are particularly prominent. In this work, we explore a new general scenario in which these…

High Energy Physics - Theory · Physics 2025-08-13 Adrien Arbalestrier , Riccardo Argurio , Luigi Tizzano

In this work, we introduce a new type of topological order which is protected by subsystem symmetries which act on lower dimensional subsets of lattice many-body system, e.g. along lines or planes in a three dimensional system. The symmetry…

Strongly Correlated Electrons · Physics 2018-07-18 Yizhi You , Trithep Devakul , F. J. Burnell , S. L. Sondhi

We propose an extension of the Standard Model (SM) based on the $SU(3)_C\otimes SU(3)_L\otimes U(1)_X$ (3-3-1) gauge symmetry and scale invariance. Maintaining the main features of the so-called 3-3-1 models, such as the cancellation of…

High Energy Physics - Phenomenology · Physics 2020-07-29 Alex G. Dias , Julio Leite , B. L. Sánchez-Vega , William C. Vieira